In this paper, dynamic behavior of a functionally graded cantilever micro-beam and its pull-in instability, subjected to simultaneous effects of a thermal moment and nonlinear electrostatic pressure, has been studied. It has been assumed that the top surface is made of pure metal and the bottom surface from a metal–ceramic mixture. The ceramic constituent percent of the bottom surface ranges fr...

In this paper, a refined plate theory is applied to investigate the free vibration analysis of functionally graded nanocomposite sandwich plates reinforced by randomly oriented straight carbon nanotube (CNT). The refined shear deformation plate theory (RSDT) uses only four independent unknowns and accounts for a quadratic variation of the transverse shear strains across the thickness, and satis...

in the present work, study of the vibration of a functionally graded (fg) cylindrical shell made up of stainless steel, zirconia, and nickel is presented. free vibration analysis is presented for fg cylindrical shells with simply supported-simply supported and clamped–clamped boundary condition based on temperature independent material properties. the equations of motion are derived by hamilton...

This paper presents a stochastic finite element method to calculate the variation of eigenvalues and eigenvectors functionally graded beams. The modulus material is assumed have spatial uncertainty as one-dimensional random field. formulation for beam due randomness elastic given using first-order perturbation approach. approach was validated with Monte Carlo simulation in previous studies spec...

The main goal of this research is to study the postbuckling behavior nonlocal functionally graded beams. Eringen’s differential model used evaluate influence material length scale in bending response. An improved shear deformation beam theory with five independent parameters utilized, which suitable for use 3D constitutive equations. A finite element derived spectral high-order interpolation fu...

The method of differential quadrature is employed to analyze the free vibration of a cracked cantilever beam resting on elastic foundation. The beam is made of a functionally graded material and rests on a Winkler-Pasternak foundation. The crack action is simulated by a line spring model. Also, the differential quadrature method with a geometric mapping are applied to study the free vibration o...

In this study, two goals are followed. First, by means of the Generalized Differential Quadrature (GDQ) method, parametric analysis on the vibration characteristics of three-parameter Functionally Graded (FG) beams on variable elastic foundations is studied. These parameters include (a) three parameters of power-law distribution, (b) variable Winkler foundation modulus, (c) two-parameter elasti...

In this study, the free vibration analysis of a functionally graded (FG) micro-beam with tapered cross-section is carried out theoretically. The beam has material distribution according to power law throughout thickness. governing equation reduced an ordinary differential for cross-sectional geometry whose width varies exponentially. Vibrations microbeams were analyzed analytically in elastic v...